42 citations · 56 across the 8 of their papers we have counts for
9 papers
Energy of signed graphs and the vertex cover number
Aniruddha Samanta, Deepshikha, Kinkar Chandra Das
The energy of a signed graph is the sum of the absolute values of the eigenvalues of its adjacency matrix . In this article, we prove that $\mathca…
Unifying adjacency, Laplacian, and signless Laplacian theories
Aniruddha Samanta, Deepshikha, Kinkar Chandra Das
Let be a simple graph with associated diagonal matrix of vertex degrees , adjacency matrix , Laplacian matrix and signless Laplacian matrix . Recently,…
On spectrally optimal duals of frames generated by graphs
Deepshikha, Aniruddha Samanta
Recently, the concept of frames generated by graphs has been introduced in \cite{D}. In this paper, we study spectrally optimal dual frames of frames generated by graphs. We show t…
On walk-regular graphs and optimal duals of frames generated by graphs
Deepshikha, Aniruddha Samanta
Erasures are a common problem that arises while signals or data are being transmitted. A profound challenge in frame theory is to find the optimal dual frames (-frames) to mini…
Frames generated by graphs
Deepshikha
Frames are the most natural generalization of orthonormal bases that allow the inclusion of redundant systems. In this article, we introduce the concept of frames generated by grap…
On the paper "Characterizations of weaving for -frames by induced sequences"
Deepshikha, Lalit Kumar Vashisht, Geetika Verma
A counter-example by Xiangchun Xiao, Guoping Zhao and Guorong Zhou in [J. Pseudo-Differ. Oper. Appl., (2021) 12:60] is incorrect. Further, there is no new characterization of weavi…
On Weaving Generalized Frames and Generalized Riesz Bases
Deepshikha, Aniruddha Samanta
Weaving frames have potential applications in wireless sensor networks that require distributed processing of signal under different frames. In this paper, we study some new proper…
Vector-Valued (Super) Weaving Frames
Deepshikha, Lalit Kumar Vashisht
Two frames and for a separable Hilbert space are woven if there are positive constants such that for every subset $σ\subs…
Weaving K-frames in Hilbert Spaces
Deepshikha, Lalit K. Vashisht
Gavruta introduced -frames for Hilbert spaces to study atomic systems with respect to a bounded linear operator. There are many differences between K-frames and standard frames,…